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Lecturer(s)
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Kühr Jan, prof. RNDr. Ph.D.
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Course content
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Topological spaces, how to generate a topology. Homeomorphisms. Projectively and inductively defined topologies. Separation axioms. Connected spaces. Countability characteristics. Compactness, compactification. Categories and functors. Homotopic and homologic groups. Uniformity.
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Learning activities and teaching methods
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Lecture, Work with Text (with Book, Textbook)
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Learning outcomes
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First steps in spaces which are more general than metric spaces and have applications in analysis.
1. Knowledge Recall main constructions of new topological spaces from old ones.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Mark, Oral exam
Oral exam.
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Recommended literature
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Armstrong M. A. (1983). Basic Topology. Springer-Verlag.
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Engelking R. (1977). General Topology. Warszawa.
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Kelley J. L. (2017). General Topology. Dover Books on Mathematics.
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McCarty G. (1967). Topology. An introduction with applications to topological groups. McGraw Hill Book Comp.
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Ossa E. (1992). Topologie. Vieweg.
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Rinow B. (1975). Topologie. Berin.
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Štěrbová, M. (1989). Úvod do obecné topologie. UP Olomouc.
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